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Finding the Third Proportional to 144,587.25 and 216,030.38

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Solution

The third proportional to 144,587.25 and 216,030.38 is: 322,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,587.25 : 216,030.38 = 216,030.38 : x
  2. Step 2: Convert to fraction form
    144,587.25/216,030.38 = 216,030.38/x
  3. Step 3: Cross multiply
    144,587.25x = 216,030.38 × 216,030.38
  4. Step 4: Simplify right side
    144,587.25x = 46,669,122,922.64
  5. Step 5: Solve for x
    x = 46,669,122,922.64/144,587.25
  6. Step 6: Final answer
    x = 322,774.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.